# Questions tagged [linear-systems]

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### Utilizing Engineering Stack Exchange: Laplace Transform case study

I'm a new student to engineering. I've been investigating different means for learning material and investigating the discipline. I'm already familiar with using different professional organizations ...
50 views

### Linear and nonlinear model outputs are different using the same input

I'm working on something in nonlinear control, and we want to compare the output of the obtained linear model (state space form using steady state data) w.r.t the nonlinear model. Attached is a ...
18 views

### Interpreting eigenvalues of non-normalized covariance matrix in system identification

Cross-posted from physics stackexchange Summary: Eigenvalues of a "non-normalized" covariance matrix of time-series measurements from a linear system have units of Action (energy * time). ...
• 113
26 views

### Using simple RNN to identify a simple dynamic linear system

I have been trying to identify a simple linear second order system (e.g. a pendulum or a mass-spring system), by simulating it in Python using backwards-euler method and then feeding the step changes ...
1 vote
70 views

### why Type III systems has at least two gain margins?

I heard the following statement https://engineering.stackexchange.com/a/54322/40848 if we have a type III system, or one that has three or more low-frequency poles that we're closing around, then we ...
• 19
96 views

### Why are the phase indicators different between the open loop bode plot and the closed loop bode plot?

I have an open-loop transfer function G num=105*conv([1 1],[1 2 43.25]); den=conv([2 0 0],conv([1 2 82],[1 2 101])); G=tf(num,den); and a closed-loop function of G/(1+G). Here are the open-loop bode ...
• 19
77 views

### What is the effect of the resonant frequency of the system function Porter diagram on the stability of the system and how to analyze it?

I am a novice in automatic control, the theoretical basis is not very good. We have a large electric clamping jaw, single degree of freedom, the motor is controlled by the torque output, the motor has ...
• 19
98 views

### How to solve for discrete state space matrices given input and output

I have a set of time-series data that consists of inputs $u_k$ where $u \in R$ and $k = 1 ... T$, and outputs $y_k$ where $y \in R^2$ and also $k = 1 ... T$, from a given system. I believe this ...
16 views

### Estimating the effective area and temperature coeffecient of a solar panel

I have a bunch of solar panels, each one is connected to an inverter. For each solar panel I have two sensors, a wind and a west sensor. From every inverter, I collect the power output. The readings ...
• 1
89 views

### Looking for a linear actuator that can carry a transverse load? Does such a product exist?

I am looking for a product that works like a linear actuator where you can control how far it extends but it can also hold a transverse load at the furthest point of extension. What I am looking for ...
1 vote
### Controllability of $x' = Ax + Bu(t)$ implies controllability of $\left \{ \begin{matrix} x' = Ax + By \\ y'=u(t) \end{matrix} \right.$
Suppose that the system $$x'(t)=Ax(t)+Bu(t)$$ is controllable in $\mathbb{R}^n$, where $A$ is $n \times n$, $B$ is $n \times m$ and $u(t)$ is $m \times 1$ Show that the system \left \{ \begin{...